Technische Universität Ilmenau

Number Theory - Modultafeln of TU Ilmenau

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Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).

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module properties module number 5818 - common information
module number5818
departmentDepartment of Mathematics and Natural Sciences
ID of group2418 (Fundamentals of Mathematics)
module leaderProf. Dr. Jochen Harant
languageDeutsch
term Sommersemester
previous knowledge and experienceGrundlagenmathematik, Grundlagen der Zahlentheorie
learning outcomegrundlegende Eigenschaften der Menge der natürlichen bzw. ganzen Zahlen, historische Aspekte der Entwicklung der Mathematik, topaktuelle Anwendungsmöglichkeiten der Zahlentheorie (Verschlüsselungstechniken, RSA)
contentTeilbarkeit, Eigenschaften von Primzahlen, Bertrandsches Postulat, Eulersche Phifunktion, summatorische und dilatorische Funktion, Möbiussche Umkehrformel, Rekursive Folgen, quadratische Reste, Gaußsches Reziprozitätsgesetz, Primzahlfunktion, Ergebnisse von Tschebyschev, Primzahlsatz
media of instruction and technical requirements for education and examination in case of online participationTafel, Folien
literature / referencesP. Bundschuh, Einführung in die Zahlentheorie, Springer 2002
H. Hasse, Vorlesungen über Zahlentheorie, Springer 1964
H. Koch, Zahlentheorie, Vieweg 1997
evaluation of teaching

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Details reference subject
module nameNumber Theory
examination number2400086
credit points5
SWS3
on-campus program (h)33.75
self-study (h)116.25
obligationobligatory module
examoral pass-fail certificate
details of the certificate

werden bei Bedarf festgelegt

alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Master Mathematik und Wirtschaftsmathematik 2013 (AM), Master Mathematik und Wirtschaftsmathematik 2013 (WM)
module nameNumber Theory
examination number2400201
credit points4
on-campus program (h)34
self-study (h)86
obligationelective module
examoral examination performance, 30 minutes
details of the certificate

werden bei Bedarf festgelegt

alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants